Question 142711
x/(x-2) - 4/(x^2-4x+4)
x/(x-2) - 4/(x-2)^2
(x(x-2)-4)/(x-2)^2
(x^2-2x-4)/(x^2-4x+4)
This is a rational function as you have written it. There is no vertex.
.
Ed
{{{graph(500,500,-10,10,-10,10,(x^2-2x-4)/(x^2-4x+4))}}}